Conditions in the Intel 8087 floating-point chip's microcode

In the 1980s, if you wanted your computer to do floating-point calculations faster, you could buy
the Intel 8087 floating-point coprocessor chip.
Plugging it into your IBM PC would make operations up to 100 times faster, a big boost for spreadsheets
and other number-crunching applications.
The 8087 uses complicated algorithms to compute trigonometric, logarithmic, and exponential functions.
These algorithms are implemented inside the chip in microcode.
I'm part of a group that is reverse-engineering this...